Poisson manifolds of strong compact type over 2-tori
Differential Geometry
2024-10-15 v2 Symplectic Geometry
Abstract
In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space . We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space.
Cite
@article{arxiv.2103.04157,
title = {Poisson manifolds of strong compact type over 2-tori},
author = {Luka Zwaan},
journal= {arXiv preprint arXiv:2103.04157},
year = {2024}
}
Comments
19 pages Updated version with more background, cleaner layout and fixed typos